Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of m...
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American Physical Society
2017
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Online Access: | http://hdl.handle.net/1721.1/110381 |
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author | Lin, Zin Lončar, Marko Rodriguez, Alejandro W. Pick, Adi |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Lin, Zin Lončar, Marko Rodriguez, Alejandro W. Pick, Adi |
author_sort | Lin, Zin |
collection | MIT |
description | We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of monopolar, dipolar, and quadrupolar modes. We show that, under suitable conditions, these modes can coalesce and form a third-order exceptional point, leading to strong modifications in the spontaneous emission (SE) of emitters, related to the local density of states. We find that SE can be enhanced by a factor of 8 in passive structures, with larger enhancements ∼√n³ possible at exceptional points of higher order n. |
first_indexed | 2024-09-23T15:56:19Z |
format | Article |
id | mit-1721.1/110381 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T15:56:19Z |
publishDate | 2017 |
publisher | American Physical Society |
record_format | dspace |
spelling | mit-1721.1/1103812022-09-29T17:10:18Z Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals Lin, Zin Lončar, Marko Rodriguez, Alejandro W. Pick, Adi Massachusetts Institute of Technology. Department of Mathematics Pick, Adi We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of monopolar, dipolar, and quadrupolar modes. We show that, under suitable conditions, these modes can coalesce and form a third-order exceptional point, leading to strong modifications in the spontaneous emission (SE) of emitters, related to the local density of states. We find that SE can be enhanced by a factor of 8 in passive structures, with larger enhancements ∼√n³ possible at exceptional points of higher order n. United States. Air Force Office of Scientific Research (FA9550-14-1-0389) National Science Foundation (U.S.) (DMR-1454836) National Science Foundation (U.S.) (DGE1144152) 2017-06-30T13:48:37Z 2017-06-30T13:48:37Z 2016-08 2016-05 2016-08-30T22:00:04Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110381 Lin, Zin; Pick, Adi; Lončar, Marko and Rodriguez, Alejandro W. "Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals." Physical Review Letters 117, 107402: 1-6 © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.117.107402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
spellingShingle | Lin, Zin Lončar, Marko Rodriguez, Alejandro W. Pick, Adi Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title | Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title_full | Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title_fullStr | Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title_full_unstemmed | Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title_short | Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals |
title_sort | enhanced spontaneous emission at third order dirac exceptional points in inverse designed photonic crystals |
url | http://hdl.handle.net/1721.1/110381 |
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